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110 articles for “Nonlinear dynamics”
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A Particle-Derived Nonlinear Dynamical Framework for Bubble Oscillations: Reduced-Order Modeling, Bifurcation Analysis, and Optimal Stabilization
Abstract: Particle-based fluid simulation has emerged as a powerful computational framework for modeling complex multiphase flows involving large deformations, moving interfaces, and nonlinear fluid interactions that challenge conventional mesh-based approaches. In this work, a nonlinear dynamical systems framework is developed for particle-resolved bubble oscillations by constructing a reduced-order model that preserves the dominant physical mechanisms governing bubble interface evolution. The formulation represents the bubble dynamics through coupled radial and shape deformation …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 11–33 Read article
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Analysis of Nonlinear Dynamic Model of Ball Bearing with Effect of Internal Radial Clearance
Abstract: It is a critical process to determine the response of rolling element bearing vibration using dynamic behavior analysis. Rolling element bearing works on the principal of transmission of load from moving race to stationary race. Generally outer race is fixed and load transmission takes place from inner race to outer race. In rolling bearing analytical formulation, the contact between rolling element and raceways is considered as nonlinear springs and their …
Published in Trends in Mechanical Engineering & Technology · Vol. 3, Issue 1, 2013 · pp. 1–8 Read article
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Nonlinear Dynamics of MEMS Resonator with Squeeze-film Damping
Abstract: This paper presents nonlinear dynamic analysis of electro-statically actuated micro-resonator under squeeze-film damping conditions. By considering a single degree-of-freedom oscillator model of resonator with squeeze-film damping effects, nonlinear phenomena are investigated. Numerical studies are conducted using phase portrait and Poincare map over a range of AC voltage amplitudes to predict the dynamic pull-in state. The effects of AC harmonic frequency and ambient pressure on beam dynamics have also been studied. …
Published in Recent Trends in Sensor Research & Technology · Vol. 2, Issue 2, 2015 · pp. 1–5 Read article
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Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems
Abstract: With the rising requirement for high capacity, low latency and energy-efficient optical communication, the need for strict mathematical models of the nonlinear dynamics of photonic systems has grown. In this study, a mathematical framework based on the Hamiltonian formalism is developed for the characterization of the nonlinear dynamics in advanced optical communication systems. The proposed formulation is the result of a natural evolution of optical amplitude, phase, dispersion, nonlinear interaction …
Published in Trends in Opto-electro & Optical Communication · Vol. 16, Issue 3, 2026 Read article
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Symmetry Breaking in Mathematical Models: Bifurcation, Chaos, and Pattern Formation
Abstract: Symmetry breaking serves as a central organizing principle in the understanding of nonlinear systems across physics, biology, chemistry, and engineering. When a system transitions from a symmetric state to an asymmetric configuration, it often signals the onset of new structures, dynamic behaviors, or even chaotic regimes. This review explores symmetry breaking from the theoretical and mathematical perspectives of bifurcation theory, chaos theory, and pattern formation. We discuss how small parameter …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 25–30 Read article
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Role of Prey Refuge in Predator-Prey Dynamics with Nonlinear Functional Responses: A Mathematical Approach
Abstract: The Beddington-DeAnglis and Holling type II functional response with prey refuge are used in this study to propose and assess a prey-predator system. This study looks at the ecological effects of prey refuge and how it affects predator-prey relationships, highlighting how functional responses influence population dynamics. The dynamical behavior of the model has been shown, which consist the existence of positivity, boundedness, local stability, and global stability. In addition, stability …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 523–537 Read article
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Microvita‑Inspired Informational Field Dynamics as a Nonlinear Signal‑Generation Mechanism in Matter–Life–Mind Systems
Abstract: Recognizing how matter, life, and consciousness relate to one another continues to be among the most essential challenges faced by modern science. Contemporary physical theories successfully describe the behavior of elementary particles and large-scale cosmological structures, yet they do not fully explain the emergence of informational complexity and organized patterns observed in biological and cognitive systems. This study proposes a theoretical framework in which Microvita are interpreted as subtle informational …
Published in Current Trends in Signal Processing · Vol. 16, Issue 1, 2026 · pp. 34–49 Read article
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Key Generation Algorithms Using Difference Equations with Multi-Precision Arithmetic: A Review
Abstract: Modern cryptographic systems rely on robust key generation to secure data and communication. This review explores the integration of difference equations and multi-precision arithmetic for cryptographic key generation, addressing limitations in traditional methods like pseudorandom number generators and chaotic systems. Difference equations produce deterministic yet chaotic sequences ideal for cryptography due to their sensitivity to initial conditions and nonlinearity. However, finite precision arithmetic can lead to periodicity and loss of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 23–36 Read article
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Key Generation Algorithm Using Difference Equation With Multi -Precision - Arithmetic : A Review
Abstract: Modern cryptographic systems rely on robust key generation to secure data and communication. This review explores the integration of difference equations and multi-precision arithmetic for cryptographic key generation, addressing limitations in traditional methods like pseudorandom number generators and chaotic systems. Difference equations produce deterministic yet chaotic sequences ideal for cryptography due to their sensitivity to initial conditions and nonlinearity. However, finite precision arithmetic can lead to periodicity and loss of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 Read article
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Nonlinear Three Dimensional Dynamic Analysis of Titanium Drilling Riser
Abstract: Titanium alloys are selected for a high-pressure drilling riser’s application due to its high specific strength, corrosion resistance, and favorable elastic properties. The qualification of this titanium alloy requires assessing its resistance to hydrogen embrittlement and stress corrosion cracking due to seawater with/without cathodic protection, evaluating its dynamic response under long crested random sea. The response analysis is based on a simulation technique which duly considers the various nonlinear effects …
Published in Journal of Offshore Structure and Technology · Vol. 2, Issue 2, 2015 · pp. 27–40 Read article
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Adaptive Robust Constraint-Based Nonlinear Control for Trajectory Tracking and Dynamic Obstacle Avoidance in Multi-copter UAVs
Abstract: An adaptive robust nonlinear control system for multi-copter unmanned aerial vehicles (UAVs) trajectory tracking and obstacle avoidance is presented in this research. The suggested approach addresses nonlinear dynamics and environmental uncertainties by combining adaptive disturbance estimates with constraint-based control. Nonlinear differential equations are used to simulate the motion of the UAV, with obstacle avoidance represented as an inequality constraint and trajectory tracking as an equality constraint. The Udwadia–Kalaba method is …
Published in International Journal on Drones · Vol. 2, Issue 2, 2026 · pp. 01–08 Read article
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Lyapunov-Stable Adaptive Fractional-Order Interval Type-2 Fuzzy Control for Robust Anti-Lock Braking Under Uncertain Road Adhesion Conditions
Abstract: This paper proposes a Lyapunov-stable Adaptive Fractional-Order Interval Type-2 Fuzzy Logic Controller (FO-IT2FLC) for robust anti-lock braking system (ABS) control under nonlinear vehicle dynamics and uncertain road adhesion conditions. The proposed framework integrates fractional-order error dynamics to capture memory-dependent tire–road interaction, interval Type-2 fuzzy inference to model uncertainty via footprint-of-uncertainty representation, and a Lyapunov-based adaptive learning mechanism for real-time parameter tuning. A rigorous stability proof guarantees boundedness of all closed-loop …
Published in Journal of Control & Instrumentation · Vol. 17, Issue 2, 2026 · pp. 31–41 Read article
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Nonlinear Mathematical Modelling of Next-Generation Wireless Communication Systems for Adaptive Network Optimization
Abstract: Next-generation wireless communication systems operate under highly dynamic conditions characterized by nonlinear channel behaviour, time-varying interference, heterogeneous traffic, mobility, fading, and rapidly changing resource requirements. Conventional linear network models are often inadequate for representing the coupled relationships among channel quality, transmit power, bandwidth allocation, interference, latency, and energy consumption. This study develops a nonlinear mathematical modelling framework for adaptive optimization of wireless communication networks. The proposed formulation represents the network …
Published in Recent Trends in Electronics Communication Systems · Vol. 13, Issue 2, 2026 Read article
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A Review Study on Dynamic Analysis of Multistoreyed Buildings by using Seismostruct Software
Abstract: Civil Engineering structures are designed to withstand environmental forces like earthquake, along with gravity loads. These forces are random and dynamic in nature. Therefore the response of the structure is also dynamic and that is what causes the unsafe and uncomfortable conditions. So, performance based analysis of the structure is required which can be achieved by Incremental Dynamic Analysis (IDA) as well as Response Spectrum analysis (RSA). But, Incremental dynamic …
Published in Journal of Structural Engineering and Management · Vol. 5, Issue 2, 2018 · pp. 53–63 Read article
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Drum-Boiler Dynamics and its Water Level Control
Abstract: Boilers used for continuous steam generation on large scale. Controlling aspect in boiler process is highly difficult as the system is complex and exhibit nonlinearity, the dynamics of boiler varies with load and multivariable dependent. The main cause of instability in boiler operation is due to the integration effect in it. In addition to that, boilers are normally used where there is sudden load variation without prior knowledge. In this …
Published in Journal of Control & Instrumentation · Vol. 9, Issue 1, 2018 · pp. 10–16 Read article
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Artificial Intelligence–Assisted Reduced-Order Modeling and Stability Control in Granular Couette Flow
Abstract: This study develops a reduced-order and stability-aware modeling framework for dense granular Couette flow by integrating continuum mechanics, bifurcation analysis, and data-driven stability estimation. Starting from coupled governing equations for momentum, granular temperature, and microstructural evolution, the system is nondimensionalized and reduced using a Galerkin projection consistent with shear-driven boundary conditions. This yields a low-dimensional nonlinear dynamical system that preserves the essential coupling between velocity, fluctuation energy, and structural relaxation. …
Published in Emerging Trends in Chemical Engineering · Vol. 13, Issue 3, 2026 Read article
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INCREMENTAL DYNAMIC ANALYSIS, EIGEN VALUE ANALYSIS & RESPONSE SPECTRUM ANALYSIS OF EXISTING RC FRAMED BUILDINGS BY USING SEISMOSTRUCT SOFTWARE
Abstract: ABSTRACTCivil Engineering structures are designed to withstand environmental forces like earthquake, along with gravity loads. These forces are random and dynamic in nature. Therefore the response of the structure is also dynamic and that is what causes the unsafe and uncomfortable conditions.So, performance based analysis of the structure is required which can be achieved by Incremental Dynamic Analysis (IDA) as well as Response Spectrum analysis (RSA). But, Incremental dynamic analysis …
Published in Journal of Structural Engineering and Management · Vol. 5, Issue 2, 2018 · pp. 25–52 Read article
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Nonlinear Mathematical Modelling and Adaptive Optimization of Nuclear Reactor Thermal-Hydraulic Systems for Safe and Efficient Operation
Abstract: Advanced nuclear reactors are characterized by strongly coupled nonlinear interactions among neutron kinetics, reactor power, fuel temperature, coolant temperature, reactivity, and coolant flow. Accurate mathematical representation of these interactions is essential for analysing reactor stability, thermal behaviour, and safe operating conditions. This study develops a nonlinear mathematical framework for coupled neutronic–thermal reactor dynamics by integrating point-reactor kinetics, delayed-neutron precursor equations, fuel and coolant energy balances, and temperature- dependent reactivity feedback. …
Published in Journal of Thermal Engineering and Applications · Vol. 16, Issue 2, 2026 Read article
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First Order Sliding Mode Control of Coupled Tank System
Abstract: This paper investigates the challenging problem of liquid level control in Coupled Tank Systems (CTS). CTS, characterized by its nonlinear behaviour and sensitivity to disturbances, presents significant control challenges. This report suggests and assesses several control measures to solve these problems. Mathematical models are developed to capture the system's nonlinear dynamics, and controllers such as Proportional-Integral (PI) and Sliding Mode Controllers (SMC) are designed. The PI controller effectively regulates the …
Published in Trends in Electrical Engineering · Vol. 14, Issue 3, 2024 Read article
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Spatiotemporal Analysis of Mean-Field Coupled Lorenz Oscillators for Applications in Electronic Network Design and Chaotic Synchronization
Abstract: This study investigates the spatiotemporal behavior of a network of 100 coupled Lorenz oscillators interacting through mean-field coupling with coupling strength κ = 0.1 and explores its relevance to electronic system design and nonlinear network architectures. While each oscillator follows classical Lorenz dynamics, the coupling mechanism enables collective behavior that resembles synchronization phenomena observed in distributed electronic and communication systems. Numerical simulations reveal rich dynamical characteristics including partial synchronization, emergent …
Published in Journal of Electronic Design Technology · Vol. 17, Issue 2, 2026 · pp. 1–9 Read article