Generating Chaos in Dynamical Systems: Applications, Symmetry Results, and Stimulating Examples

Symmetry, Journal Year: 2024, Volume and Issue: 16(8), P. 938 - 938

Published: July 23, 2024

In this paper, we present a new class of extended oscillators in light chaos theory. It is based on dynamical complex systems built the concept self-describing with stopping criterion process. We offer an effective studying approach specific focus learning, provoking students’ thinking through triad enigmatics–creativity–acmeology. Dynamic processes are basis mathematical modeling; thus, can reach goal above-mentioned by proposed differential systems. The results derive strongly confirm presence symmetry outcomes models. suggest stochastic to structuring modeling coefficients that drive them some discrete probability distribution exhibits or asymmetry. propose tools for researching behavior these

Language: Английский

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Fractional memristive-discrete neural network: projective terminal sliding mode synchronization

The European Physical Journal Special Topics, Journal Year: 2025, Volume and Issue: unknown

Published: April 29, 2025

Language: Английский

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Enriched dynamical behavior of a novel locally active memristor-driven neuron map

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 198, P. 116537 - 116537

Published: May 15, 2025

Language: Английский

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Further study on the Rulkov neuron: geometric control, circuit realization and chaos-based encryption

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(7), P. 075204 - 075204

Published: May 20, 2024

Abstract Rulkov neuron with various firing modes is exhaustively explored by numerical simulation aiming to disclose its unique properties of evolution. Transient chaos and the coexistence periodic state are found. Furthermore, it found that chaotic attractors in can also be arranged flexibly phase space a single offset booster, while amplitude firings rescaled an independent controller. Circuit implementation based on MCU carried out demonstrating predicted dynamics. Confidentiality security data play important role safeguarding national production livelihood. In this paper, introduced into Tiny Encryption Algorithm (TEA) for image encryption combined metrics analysis. It proven Chaos-based (ChaosTEA) exhibits higher efficiency compared traditional TEA algorithm.

Language: Английский

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Initials-dependent dynamics and synchronization in a memristor coupled memristive map

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 18, 2024

Language: Английский

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