Strange nonchaotic attractors in driven delay--dynamics
Awadhesh Prasad, Manish Agrawal, and Ramakrishna Ramaswamy
TL;DR
This paper investigates the emergence of strange nonchaotic attractors in driven delay systems, demonstrating phase synchronization in models like SQUID and Rössler oscillators due to nonpositive Lyapunov exponents.
Contribution
It reveals the presence of SNAs in quasiperiodically driven delay systems and links their properties to phase synchronization phenomena.
Findings
SNAs observed in specific delay systems.
Phase synchronization occurs with nonpositive Lyapunov exponents.
Illustrated in SQUID and Rössler oscillator models.
Abstract
Strange nonchaotic attractors (SNAs) are observed in quasiperiodically driven time--delay systems. Since the largest Lyapunov exponent is nonpositive, trajectories in two such identical but distinct systems show the property of {\it phase}--synchronization. Our results are illustrated in the model SQUID and R\"ossler oscillator systems.
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Taxonomy
TopicsChaos control and synchronization · Quantum chaos and dynamical systems · Neural Networks and Applications