Concept

Standard map

OpenAlex ID: C82229145

Transport in Hamiltonian systems

1984 · R.S. Mackay, J.D. Meiss, et al. · Physica D Nonlinear Phenomena · 713

Frequency analysis for multi-dimensional systems. Global dynamics and diffusion

1993 · Jacques Laskar · Physica D Nonlinear Phenomena · 532

A block cipher based on a suitable use of the chaotic standard map

2005 · Shiguo Lian, Jinsheng Sun, et al. · Chaos Solitons & Fractals · 409

The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping

1992 · Jacques Laskar, Claude Froeschlé, et al. · Physica D Nonlinear Phenomena · 377

Lyapunov Exponent and Out-of-Time-Ordered Correlator’s Growth Rate in a Chaotic System

2017 · Efim B. Rozenbaum, Sriram Ganeshan, et al. · Physical Review Letters · 329

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Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits

2001 · Ch Skokos · Journal of Physics A Mathematical and General · 323

Image encryption algorithm based on a 2D-CLSS hyperchaotic map using simultaneous permutation and diffusion

2022 · Lin Teng, Xingyuan Wang, et al. · Information Sciences · 234

Transition to chaos by interaction of resonances in dissipative systems. II. Josephson junctions, charge-density waves, and standard maps

1984 · Tomas Bohr, Per Bak, et al. · Physical Review A · 232

1997 · G. M. Zaslavsky, M. Edelman, et al. · Chaos An Interdisciplinary Journal of Nonlinear Science · 220

Area preserving nontwist maps: periodic orbits and transition to chaos

1996 · D. del-Castillo-Negrete, J.M. Greene, et al. · Physica D Nonlinear Phenomena · 215

Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform

2012 · Yushu Zhang, Di Xiao · Optics and Lasers in Engineering · 197

Initials-Boosted Coexisting Chaos in a 2-D Sine Map and Its Hardware Implementation

2020 · Han Bao, Zhongyun Hua, et al. · IEEE Transactions on Industrial Informatics · 192

Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems

2002 · Nicholas R. Cerruti, Steven Tomsovic · Physical Review Letters · 178

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Converse KAM: Theory and practice

1985 · R. S. MacKay, I. C. Percival · Communications in Mathematical Physics · 176

A new fractional one dimensional chaotic map and its application in high-speed image encryption

2020 · Mohamed Zakariya Talhaoui, Xingyuan Wang · Information Sciences · 175

A novel image encryption scheme using both pixel level and bit level permutation with chaotic map

2020 · Shahna K.U., Anuj Mohamed · Applied Soft Computing · 172

Time–frequency analysis of chaotic systems

2003 · C. Chandre, S. Wiggins, et al. · Physica D Nonlinear Phenomena · 149

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The fast Lyapunov indicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt

1997 · Cl. Froeschlé, R. Gonczi, et al. · Planetary and Space Science · 138

An efficient diffusion approach for chaos-based image encryption

2008 · Kwok-Wo Wong, Bernie Sin-Hung Kwok, et al. · Chaos Solitons & Fractals · 137

Statistically optimal almost-invariant sets

2005 · Gary Froyland · Physica D Nonlinear Phenomena · 136

An image encryption algorithm based on dynamic row scrambling and Zigzag transformation

2021 · Xingyuan Wang, Xuan Chen · Chaos Solitons & Fractals · 132

Pseudo-holomorphic maps and bubble trees

1993 · Thomas H. Parker, Jon G. Wolfson · Journal of Geometric Analysis · 125

Diffusive dynamics in systems with translational symmetry: A one-dimensional-map model

1982 · Mark Schell, Simon Fraser, et al. · Physical Review A · 124

Image encryption based on modified Henon map using hybrid chaotic shift transform

2018 · S. J. Sheela, K. V. Suresh, et al. · Multimedia Tools and Applications · 123

Global dynamics and long-time stability in Hamiltonian systems via numerical frequency analysis

1993 · H. S. Dumas, J. Laskar · Physical Review Letters · 120

Works count: 982

Citation count: 17,520