A semi-analytical locally transversal linearization method for non-linear dynamical systems

International Journal for Numerical Methods in Engineering

Volumn 51, Issue 2, 2001, Pages 203-224

  Roy, D ^a   Ramachandra, L S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Differential manifolds; Germs andjets; Nonlinear vector fields; Transversal tangent spaces; Van der Pol and Duffing Holmes oscillators

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; DYNAMICS; LINEARIZATION; OSCILLISTORS; VECTORS;

LOCALLY TRANSVERSAL LINEARIZATION (LTL);

NONLINEAR SYSTEMS;

DYNAMICAL SYSTEM;

EID: 0035918603     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.154     Document Type: Article

References (25)

1. Combination tones of single-degree-of-freedom systems with quadratic and cubic non-linearities
2. Amplitude incremental variational principle for nonlinear vibration of elastic systems
3. A second order approximate analytical solution of a simple pendulum by the process analysis method
4. Non-chaotic response of non-linear oscillators under combined deterministic and weak stochastic excitations
5. Chaos in numerical analysis of ordinary differential equations
6. Computational chaos: A prelude to computational instability
7. A frequency domain based numeric-analytical method for non-linear dynamical systems
8. New approaches for the study of non-linear oscillators
9. Extensions of the phase space linearization (PSL) technique for non-linear oscillators
10. Phase space linearization for non-linear oscillators: Deterministic and stochastic systems
11. Application of conditional linearization in the study of non-linear systems
12. A non-linear oscillator with a strange attractor
13. Bifurcations of the forced van der Pol oscillator
14. Local Lyapunov exponents in chaotic systems