10 papers
Long-Range Nonequilibrium Correlations as a Thermodynamic Speedometer
Vinesh Vijayan, Rishma Thilakaraj, Gokila V +1
Despite purely local microscopic dynamics, nonequilibrium steady states can develop long-range correlations. We investigate this phenomenon in the boundary-driven symmetric simple…
Geometry Induced Adaptive Dissipation in Non Linear Contact Hamiltonian Systems Theory and Application to Duffing Oscillator
Vinesh Vijayan, R Sathishkumar, D Kaleeswaran
We develop a generalized contact Hamiltonian framework by extending canonical contact Hamiltonian mechanics to nonlinear dissipative systems through the replacement of the classica…
Complexity Condensation Through Adaptive Information Exchange
Vinesh Vijayan, Prakash R, Kaleeswaran D
An emergent complexity field governing information exchange is the central theme of this work. To explore this idea, we propose a model of an adaptive dynamical network in which bo…
Parametric Modulation of Nonlinear Coupling in the Hénon Heiles System: Resonances, Chaos, and Stabilization
Vinesh Vijayan, P Satishkumar, Dinesh Wankhade. R Sumathi
We investigate parametric modulation of the nonlinear coupling in the Henon Heiles system, which directly modifies intrinsic resonance structure in a manner complementary to additi…
Breakdown of Linear Response in Uniformly Hyperbolic Systems with Hierarchical Structure
Vinesh Vijayan, Priyadharshini B, Santhoshbalaji M +1
Linear response theory asserts that sufficiently small external biases produce currents proportional to the applied force and forms the theoretical foundation of nonequilibrium tra…
Finite-scale geometric invariants for chaotic and weakly chaotic dynamics
Vinesh Vijayan
We introduce a finite scale geometric observable that quantifies the growth rate of localized sets under time evolution in dissipative dynamical systems. Defined at finite time and…
Universality classes of chaos in non Markovian dynamics
Vinesh Vijayan
Classical chaos theory rests on the notion of universality, whereby disparate dynamical systems share identical scaling laws. Existing universality classes, however, implicitly ass…
Universal Curvature Force on Dislocations from a Cartan Geometric Defect Action
Vinesh Vijayan, T Ishwarya, M Parveenbanu +1
We develop a unified Cartan geometric framework where dislocations and disclinations correspond to torsion and curvature of the material coframe connection, respectively, and phase…
Geometric Formulation of Combined Conservative Dissipative Mechanics via Contact Hamiltonian Dynamics Symmetries, Reduction, and Variational Integrators
Vinesh Vijayan, Pasupuleti Thejasree, P Satish Kumar +1
We develop a unified geometric framework for mechanical systems that combine conservative and dissipative dynamics by formulating them on contact manifolds. Within this setting, we…
Noise Reinstates Collapsed Populations: Stochastic Reversal of Deterministic Extinction
Vinesh Vijayan, B Priyadharshini, R Sathish Kumar +1
Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a determ…