Complex dynamics

Known as: Complex analytic dynamics, Holomorphic dynamics, Conformal dynamics 
Complex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study… (More)
Wikipedia

Related topics

Related topics

12 relations
Cantor functionChaos theoryComplex quadratic polynomialConnectedness locus
(More)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
A Sampling-Based Tree Planner for Systems With Complex Dynamics
This paper presents a kinodynamic motion planner, i.e., Kinodynamic Motion Planning by Interior-Exterior Cell Exploration (KPIECE… (More)
Is this relevant?
Highly Cited
2010
Highly Cited
2010
Logical Analysis of Hybrid Systems - Proving Theorems for Complex Dynamics
logical analysis of hybrid systems proving theorems for complex dynamics What to say and what to do when mostly your friends love… (More)
Is this relevant?
Highly Cited
2007
Highly Cited
2007
The complex dynamics of collaborative tagging
The debate within the Web community over the optimal means by which to organize information often pits formalized classifications… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2007
Highly Cited
2007
COMPLEX ANALYTIC DYNAMICS ON THE RIEMANN SPHERE
1. Background and notation 2. The dynamical dichotomy of Fatou and Julia 3. Periodic points 4. The consequences of Montel's… (More)
Is this relevant?
Highly Cited
2006
Highly Cited
2006
COMPLEX DYNAMICS IN ECOLOGICAL TIME SERIES'
Although the possibility of complex dynamical behaviors-limit cycles. quasiperiodic oscillations. and aperiodic chaos-has been… (More)
  • figure I
  • figure 2
  • figure 4
  • figure 5
  • table 4
Is this relevant?
Highly Cited
2004
Highly Cited
2004
Symbolic dynamic analysis of complex systems for anomaly detection
This paper presents a novel concept of anomaly detection in complex dynamical systems using tools of Symbolic Dynamics, Finite… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2001
Highly Cited
2001
An initial model fo complex dynamics in electric power system blackouts
We define a model for the evolution of a long series of electric power transmission system blackouts. The model describes… (More)
  • table 1
  • figure 1
  • table 2
  • figure 2
  • figure 3
Is this relevant?
Highly Cited
2000
Highly Cited
2000
Learning and Classification of Complex Dynamics
ÐStandard, exact techniques based on likelihood maximization are available for learning Auto-Regressive Process models of… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 6
  • figure 7
Is this relevant?
Highly Cited
1993
Highly Cited
1993
Complex Dynamics in Higher Dimension
We discuss a few new results in the area of complex dynamics in higher dimension. We investigate generic properties of orbits of… (More)
Is this relevant?
Highly Cited
1990
Highly Cited
1990
Model of biological pattern recognition with spatially chaotic dynamics
-This article describes" computer simulation of the dynamics of a distributed model of the ol)actory system that is aimed at… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 5
  • figure 6
Is this relevant?