Antimonotonicity, Bifurcation and Multistability in the Vallis Model for El Niño

DOI10.1142/S0218127419500329zbMath1414.34037MaRDI QIDQ4631664

Anitha Karthikeyan, Sajad Jafari, D. Premraj, Karthikeyan Rajagopal, Zhouchao Wei, K. Thamilmaran, Viet-Thanh Pham

Publication date: 18 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationmultistabilityantimonotonicityEl NiñoVallis model

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Periodic solutions of \textit{El Niño} model through the Vallis differential system
• Control of multistability
• Hidden attractors in dynamical systems
• Degenerate Hopf bifurcations in the Lü system
• Chaos synchronization between two different fractional-order hyperchaotic systems
• A new oscillator with infinite coexisting asymmetric attractors
• A hyperchaotic map with grid sinusoidal cavity
• Chaos in Vallis' asymmetric Lorenz model for \textit{El Niño}
• Linearization of the Lorenz system
• Determining Lyapunov exponents from a time series
• Twin birds inside and outside the cage
• Chaos and periodicity in Vallis model for El Niño
• Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria
• An infinite 3-D quasiperiodic lattice of chaotic attractors
• Hyperchaotic chameleon: fractional order FPGA implementation
• Co-existing attractors of impact oscillator
• Simplest dissipative chaotic flow.
• Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control
• Bistable hidden attractors in a novel chaotic system with hyperbolic sine equilibrium
• Can derivative determine the dynamics of fractional-order chaotic system?
• A chaotic system with a single unstable node
• Bifurcation analysis of the Watt governor system
• Multiscroll Chaotic Sea Obtained from a Simple 3D System Without Equilibrium
• Generating Multiple Chaotic Attractors from Sprott B System
• Multistability in the Lorenz System: A Broken Butterfly
• MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
• A Modified Multistable Chaotic Oscillator
• Constructing Chaotic Systems with Total Amplitude Control
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR TIME-VARYING SYSTEMS
• Infinite Multistability in a Self-Reproducing Chaotic System
• Deterministic Nonperiodic Flow
• A new chaotic oscillator with free control
• Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium
• Various Types of Coexisting Attractors in a New 4D Autonomous Chaotic System
• Elements of applied bifurcation theory

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