Results 51 to 60 of about 31,539 (227)

Geometric Approach to Lyapunov Analysis in Hamiltonian Dynamics [PDF]

, 2001
As is widely recognized in Lyapunov analysis, linearized Hamilton's equations of motion have two marginal directions for which the Lyapunov exponents vanish.
C. P. Ong, E. Hairer, E. T. Whittaker, G. Benettin, G. Mutschke, H. Yoshida, K. Yano, L. Casetti, L. Casetti, L. Casetti, L. Casetti, M. Cerruti-Sola, M. Pettini, M.-C. Firpo, P. Butera, R. Livi, S. Sasaki, T. Konishi, Toshihiro Iwai, V. I. Oseledec, Y. Y. Yamaguchi, Y. Y. Yamaguchi, Yoshiyuki Y. Yamaguchi   +22 more
core   +3 more sources

Recurrence, Dimensions, and Lyapunov Exponents

Journal of Statistical Physics, 2002
12 ...
Saussol, B., Troubetzkoy, Serge, Vaienti, S.   +2 more
openaire   +4 more sources

Controlling Dynamical Systems Into Unseen Target States Using Machine Learning

Advanced Intelligent Systems, EarlyView.
Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr, Alexander Haluszczynski, Christoph Räth   +2 more
wiley   +1 more source

Computational Issues in Nonlinear Dynamical Systems: Creating Bifurcation Diagrams of Lyapunov Exponents Using a Novel Adaptive Approach

IEEE Access
Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents.
Maciej Walczak, Wieslaw Marszalek
doaj   +1 more source

CHAOTIC VIBRATION OF BUCKLED BEAMS AND PLATES [PDF]

INCAS Bulletin, 2009
The great developing of numerical analysis of the dynamic systems emphasizes the existence of astrong dependence of the initial conditions, described in the phase plane by attractors with acomplicated geometrical structure.
Daniela BARAN
doaj   +1 more source

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source

Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong, Chong Dong, Can Xue, Meiheng Peng, Ying Feng, Jianwei Zhang, Yinuo Liu   +6 more
wiley   +1 more source

Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering

, 2001
In recent work a deterministic and time-reversible boundary thermostat called thermostating by deterministic scattering has been introduced for the periodic Lorentz gas [Phys. Rev. Lett. {\bf 84}, 4268 (2000)].
A. Wolf, B. L. Holian, B. Moran, C. Dellago, C. Dellago, C. Dellago, C. Dellago, C. P. Dettmann, C. P. Dettmann, C. Wagner, C. Wagner, D. J. Evans, D. J. Evans, D. J. Evans, D. J. Evans, G. Benettin, G. Morriss, G. P. Morriss, G. P. Morriss, H. A. Posch, H. A. Posch, J. Lloyd, J. Lloyd, J.-P. Eckmann, K. Rateitschak, K. Rateitschak, K. Rateitschak, N. I. Chernov, N. L. Chernov, R. Klages, R. Klages, S. Nosé, W. G. Hoover, W. G. Hoover, W. G. Hoover, W. G. Hoover   +35 more
core   +1 more source

Wearable exoskeleton robot control using radial basis function‐based fixed‐time terminal sliding mode with prescribed performance

Asian Journal of Control, EarlyView.
Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah, Yassine Kali, Maarouf Saad, Raouf Fareh, Maamar Bettayeb   +4 more
wiley   +1 more source

Quantum Lyapunov Exponents

Foundations of Physics, 2002
15 pages, 10 ...
FALSAPERLA, PAOLO, G. FONTE, G. SALESI
openaire   +5 more sources