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Can Strange Nonchaotic Dynamics be induced through Stochastic Driving?
Awadhesh Prasad, Ramakrishna Ramaswamy
Upon addition of noise, chaotic motion in low-dimensional dynamical systems can sometimes be transformed into nonchaotic dynamics: namely, the largest Lyapunov exponent can be made…
Collision and symmetry-breaking in the transition to strange nonchaotic attractors
Awadhesh Prasad, Ramakrishna Ramaswamy, Indubala I. Satija +1
Strange nonchaotic attractors (SNAs) can be created due to the collision of an invariant curve with itself. This novel ``homoclinic'' transition to SNAs occurs in quasiperiodically…
Characteristic distributions of finite-time Lyapunov exponents
Awadhesh Prasad, Ramakrishna Ramaswamy
We study the probability densities of finite-time or \local Lyapunov exponents (LLEs) in low-dimensional chaotic systems. While the multifractal formalism describes how these densi…
Targetting Chaos through Adaptive Control
Ramakrishna Ramaswamy, Sudeshna Sinha, Neelima Gupte
We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has t…
Finite-time Lyapunov exponents of Strange Nonchaotic Attractors
Awadhesh Prasad, Ramakrishna Ramaswamy
The probability distribution of finite-time Lyapunov exponents provides an important characterization of dynamical attractors. We study such distributions for strange nonchaotic at…
Strange Nonchaotic Attractors in the Quasiperiodically forced Logistic Map
Awadhesh Prasad, Vishal Mehra, Ramakrishna Ramaswamy
Different mechanisms for the creation of strange non-chaotic dynamics in the quasiperiodically forced logistic map are studied. These routes to strange nonchaos are characterised t…
Intermittency Route to Strange Nonchaotic Attractors
Awadhesh Prasad, Vishal Mehra, Ramakrishna Ramaswamy
Strange nonchaotic attractors (SNA) arise in quasiperiodically driven systems in the neighborhood of a saddle node bifurcation whereby a strange attractor is replaced by a periodic…
Synchronization of Strange Nonchaotic Attractors
Ramakrishna Ramaswamy
Strange nonchaotic attractors (SNAs), which are realized in many quasiperiodically driven nonlinear systems are strange (geometrically fractal) but nonchaotic (the largest nontrivi…
Curvature fluctuations and Lyapunov exponent at Melting
Vishal Mehra, Ramakrishna Ramaswamy
We calculate the maximal Lyapunov exponent in constant-energy molecular dynamics simulations at the melting transition for finite clusters of 6 to 13 particles (model rare-gas and…