Classification of Trajectory Types Exhibiting Dynamical Matching in Caldera-Type Hamiltonian Systems

Matthaios Katsanikas; Stephen Wiggins

doi:10.3390/dynamics5040049

Classification of Trajectory Types Exhibiting Dynamical Matching in Caldera-Type Hamiltonian Systems

Matthaios Katsanikas^*, Stephen Wiggins

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

In this paper, we study the different types of trajectories that correspond to a particular orbital behavior of caldera-type Hamiltonian systems. This particular orbital behavior is dynamical matching. Dynamical matching is an important chemical phenomenon that is encountered in many caldera-type organic chemical reactions. In this paper we will distinguish the different types of trajectories that correspond to this phenomenon using periodic orbit dividing surfaces.

Original language	English
Article number	49
Number of pages	10
Journal	Dynamics
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/dynamics5040049
Publication status	Published - 20 Nov 2025

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Publisher Copyright:
© 2025 by the authors.

Keywords

chemical physics
Hamiltonian chaos
reaction dynamics
dividing surfaces

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title = "Classification of Trajectory Types Exhibiting Dynamical Matching in Caldera-Type Hamiltonian Systems",

abstract = "In this paper, we study the different types of trajectories that correspond to a particular orbital behavior of caldera-type Hamiltonian systems. This particular orbital behavior is dynamical matching. Dynamical matching is an important chemical phenomenon that is encountered in many caldera-type organic chemical reactions. In this paper we will distinguish the different types of trajectories that correspond to this phenomenon using periodic orbit dividing surfaces.",

keywords = "chemical physics, Hamiltonian chaos, reaction dynamics, dividing surfaces",

author = "Matthaios Katsanikas and Stephen Wiggins",

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AU - Katsanikas, Matthaios

AU - Wiggins, Stephen

PY - 2025/11/20

Y1 - 2025/11/20

N2 - In this paper, we study the different types of trajectories that correspond to a particular orbital behavior of caldera-type Hamiltonian systems. This particular orbital behavior is dynamical matching. Dynamical matching is an important chemical phenomenon that is encountered in many caldera-type organic chemical reactions. In this paper we will distinguish the different types of trajectories that correspond to this phenomenon using periodic orbit dividing surfaces.

AB - In this paper, we study the different types of trajectories that correspond to a particular orbital behavior of caldera-type Hamiltonian systems. This particular orbital behavior is dynamical matching. Dynamical matching is an important chemical phenomenon that is encountered in many caldera-type organic chemical reactions. In this paper we will distinguish the different types of trajectories that correspond to this phenomenon using periodic orbit dividing surfaces.

KW - chemical physics

KW - Hamiltonian chaos

KW - reaction dynamics

KW - dividing surfaces

U2 - 10.3390/dynamics5040049

DO - 10.3390/dynamics5040049

M3 - Article (Academic Journal)

SN - 2673-8716

VL - 5

JO - Dynamics

JF - Dynamics

IS - 4

M1 - 49

ER -

Classification of Trajectory Types Exhibiting Dynamical Matching in Caldera-Type Hamiltonian Systems

Abstract

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Keywords

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