# Transient chaos generates small chimeras

@article{Banerjee2018TransientCG, title={Transient chaos generates small chimeras}, author={Amitava Banerjee and Debopriya Sikder}, journal={Physical Review E}, year={2018} }

While the chimera states themselves are usually believed to be chaotic transients, the involvement of chaos behind their self-organization is not properly distinguished or studied. In this work, we demonstrate that small chimeras in the local flux dynamics of an array of magnetically coupled superconducting quantum interference devices (SQUIDs) driven by an external field are born through transiently chaotic dynamics. We deduce analytic expressions for small chimeras and synchronous states… Expand

#### 10 Citations

Transient chimera-like states for forced oscillators.

- Medicine, Physics
- Chaos
- 2020

This work considers a star network, in which N identical peripheral end nodes are connected to the central hub node, and finds that if a single node exhibits transient chaotic behavior in the whole network, the pattern of transient chimeralike state is created, which persists for a significant amount of time. Expand

Pattern formation and chimera states in 2D SQUID metamaterials.

- Physics, Medicine
- Chaos
- 2020

The emergent collective dynamics in two-dimensional lattices of coupled SQUID oscillators involves a rich menagerie of spatiotemporal dynamics, including Turing-like patterns and chimera states, as well as the ability to transform between these states by varying the system parameters. Expand

Pattern formation and chimera states in 2 D SQUID metamaterials

- 2019

The Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator with rich dynamical behavior, including chaos. When driven by a time-periodic magnetic flux, the SQUID… Expand

Stable chimeras of non-locally coupled Kuramoto–Sakaguchi oscillators in a finite array

- Physics
- 2019

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled… Expand

Is it really chaos? The complexity of transient dynamics of double pendula

- Physics
- 2020

In this paper, we re-examine the dynamics of double pendulum in numerical simulations and experimental observations. Typical types of behaviors of the parametrically excited double pendula are… Expand

Chimera state in complex networks of bistable Hodgkin-Huxley neurons.

- Medicine, Physics
- Physical review. E
- 2019

A detailed investigation of the chimera state in complex networks of bistable Hodgkin-Huxley neurons with excitatory coupling is provided, which manifests as a termination of spiking activity of a part of interacting neurons. Expand

Chimera States in Networks of Locally and Non-locally Coupled SQUIDs

- Physics, Mathematics
- Front. Appl. Math. Stat.
- 2019

Planar and linear arrays of SQUIDs (superconducting quantum interference devices), operate as nonlinear magnetic metamaterials in microwaves. Such {\em SQUID metamaterials} are paradigmatic systems… Expand

rf SQUID Metamaterials: A Rich Nonlinear Setting for Applications

- 2019

We summarize work on the nonlinear properties of radio frequency Superconducting Quantum Interference Device (rf SQUID) based metamaterials and discuss how this platform enables new applications. The… Expand

Collective Dynamics and Bifurcations in Symmetric Networks of Phase Oscillators. II

- Journal of Mathematical Sciences
- 2021

Multi-branched resonances, chaos through quasiperiodicity, and asymmetric states in a superconducting dimer.

- Physics, Medicine
- Chaos
- 2020

A system of two identical superconducting quantum interference devices (SQUIDs) symmetrically coupled through their mutual inductance and driven by a sinusoidal field is investigated numerically with… Expand

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