Highly excited vibrational states of HCP and their analysis in terms of periodic orbits: The genesis of saddle-node states and their spectroscopic signature

1997 ◽  
Vol 107 (23) ◽  
pp. 9818-9834 ◽  
Author(s):  
Christian Beck ◽  
Hans-Martin Keller ◽  
S. Yu. Grebenshchikov ◽  
Reinhard Schinke ◽  
Stavros C. Farantos ◽  
...  
Keyword(s):  
Periodic Orbits ◽  
Vibrational States ◽  
Saddle Node ◽  
Highly Excited Vibrational States

scholarly journals The Study of Dynamical Potentials of Highly Excited Vibrational States of HOBr

2013 ◽  
Vol 14 (3) ◽  
pp. 5250-5263 ◽  
Author(s):  
Aixing Wang ◽  
Lifeng Sun ◽  
Chao Fang ◽  
Yibao Liu
Keyword(s):  
Vibrational States ◽  
Highly Excited Vibrational States

scholarly journals Highly excited vibrational states of HCN around 30000cm−1

2006 ◽  
Vol 125 (17) ◽  
pp. 174306 ◽  
Author(s):  
R. Z. Martínez ◽  
Kevin K. Lehmann ◽  
Stuart Carter
Keyword(s):  
Vibrational States ◽  
Highly Excited Vibrational States

FOLLOWING A SADDLE-NODE OF PERIODIC ORBITS' BIFURCATION CURVE IN CHUA'S CIRCUIT

2009 ◽  
Vol 19 (02) ◽  
pp. 487-495 ◽  
Author(s):  
E. FREIRE ◽  
E. PONCE ◽  
J. ROS
Keyword(s):  
Periodic Orbits ◽  
Piecewise Linear ◽  
Period Doubling ◽  
Numerical Continuation ◽  
Bifurcation Curve ◽  
Saddle Node Bifurcation ◽  
Leading Role ◽  
Chua’S Oscillator ◽  
Saddle Node ◽  
Parametric Region

Starting from previous analytical results assuring the existence of a saddle-node bifurcation curve of periodic orbits for continuous piecewise linear systems, numerical continuation is done to get some primary bifurcation curves for the piecewise linear Chua's oscillator in certain dimensionless parameter plane. The primary period doubling, homoclinic and saddle-node of periodic orbits' bifurcation curves are computed. A Belyakov point is detected in organizing the connection of these curves. In the parametric region between period-doubling, focus-center-limit cycle and homoclinic bifurcation curves, chaotic attractors coexist with stable nontrivial equilibria. The primary saddle-node bifurcation curve plays a leading role in this coexistence phenomenon.

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