We show that linear-growth-rate heterogeneity combined with complex global coupling can generate quasiperiodicity and chaos in a finite population of Stuart-Landau oscillators with identical natural frequencies and no Kerr-type nonlinear frequency shift. Lyapunov spectra identify limit cycles, quasiperiodic tori, and chaotic attractors, while the order-parameter amplitude exhibits signatures consistent with period-doubling-like transitions towards chaos. We further derive a finite-size invariant manifold of vanishing-order-parameter phase-locked solutions represented by closed polygons with fixed side lengths and demonstrate their configuration-dependent transverse stability. Ensemble sampling reveals pronounced coexistence among polygonal and ordinary phase-locked cycles, quasiperiodic tori, and chaotic attractors. An amplitude-time rescaling identifies the leading parameter approximately organizing the regime boundaries and the similar bifurcation and multistability patterns. These results advance our understanding of collective dynamics in amplitude-inclusive oscillator networks by revealing how heterogeneity and complex coupling jointly shape dynamical complexity, bifurcation structure, and multistability.
Deterministic chaotic systems often exhibit highly organized structures in both phase space and parameter space. In this work, we investigate two-dimensional Hénon-like extensions of the discrete Gaussian and cubic maps incorporating a linear feedback channel. The Gaussian-based model admits a natural realization as a...
We investigate the bifurcations of periodic orbits and resulting collective dynamics in a system of two coupled identical bistable extended Stuart-Landau (Bautin) oscillators under frequency detuning. Using a symmetry-preserving phase-difference reduction under strict mathematical closure, we analytically and numerical...
A. Markelov, A. Dmitrichev, V. Nekorkin· Chaos· 0 citations
Recent work has introduced the notion of a time semicrystal, a driven nonequilibrium regime in which subharmonic temporal order survives inside deterministic chaos. Here we revisit this phenomenology from the viewpoint of classical nonlinear dynamics. Banded chaotic attractors consist of a finite number of chaotic sect...
We demonstrate the emergence of quantum-chaotic dynamics in a quasiperiodically driven impact oscillator near the grazing condition. While previous studies of the quantum impact oscillator under periodic driving reported strange nonchaotic dynamics, we show that quasiperiodic driving produces robust signatures of chaos...
This study systematically characterize routes to chaos in finite-size random neural networks by quantifying the fraction of chaotic trajectories as a function of coupling strength and system size, providing a statistical characterization of the broad onset of chaos in finite random networks.
Chaotic systems with independent amplitude regulation remain difficult to realize because most existing approaches couple amplitude adjustment with bifurcation parameters, causing simultaneous changes in attractor topology and dynamical behavior. In this work, we propose a new gallery of three-dimensional chaotic flows...
Chun-Biao Li, J. Sprott, Wang-Yu Liu· International Journal of Bif...· 0 citations
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