• Discontinuity

    If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function.

    read more
  • Controlling chaos

    Small manipulations of a chaotic system can control chaos, e.g., stabilize an unstable periodic orbit, direct chaotic trajectories to desired locations, or achieve other useful goals.

    read more
  • Bifurcation

    A bifurcation of a dynamical system is a qualitative change in its dynamics produced by varying parameters.

    read more
  • Synchronization

    In a classical context, synchronization means adjustment of rhythms of self-sustained periodic oscillators due to their weak interaction; this adjustment can be described in terms of phase locking and frequency entrainment.

    read more
  • Piecewise smooth dynamical system

    A piecewise-smooth dynamical system (or PWS) is a discrete- or continuous-time dynamical system whose phase space is partitioned in different regions, each associated to a different functional form of the system vector field.

    read more
  • Numerical analysis

    Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics.

    read more
  • Crises

    Considering a dynamical system with a chaotic attractor, bifurcations of such attractors can occur as a system parameter is varied. These changes occur due to the collision of the chaotic attractor with an unstable invariant set.

    read more
  • Periodic orbit

    A periodic orbit corresponds to a special type of solution for a dynamical system, namely one which repeats itself in time. A dynamical system exhibiting a stable periodic orbit is often called an oscillator.

    read more
  • Pulse coupled oscillators

    Pulse coupled oscillators are limit cycle oscillators that are coupled in a pulsatile rather than smooth manner.

    read more
  • Chaos

    Chaos describes a system that is predictable in principle but unpredictable in practice. In other words, although the system follows deterministic rules, its time evolution appears random.

    read more
  • Stability

    The stability of an orbit of a dynamical system characterizes whether nearby (i.e., perturbed) orbits will remain in a neighborhood of that orbit or be repelled away from it.

    read more
  • Normal forms

    A normal form of a mathematical object, broadly speaking, is a simplified form of the object obtained by applying a transformation (often a change of coordinates) that is considered to preserve the essential features of the object.

    read more


非線形力学系 + 断続動作特性 (特に、電気系 / 機械系)

非線形力学系とくに断続動作特性を有する系に関する理論的および工学的応用に関する研究 ..more




論文 / 国際会議 / 研究会 ..more


高坂拓司 研究室

中京大学 工学部 電気電子工学科

[Tel / Fax]
052-835-7116 / 052-835-7957



  • March 11, 2019


  • Older Posts


  • 高坂 拓司 / 教授
  • [大分]
  • 木下 航 /M2: wataru@bifurcation.jp
  • 志藤 広陸 /M2: hiromichi@bifurcation.jp
  • 松本 祐樹 /M2: yuki@bifurcation.jp
  • 箕輪 知哲 /M2: minowa@bifurcation.jp
  • [中京]
  • 伊藤 圭祐 /B4
  • 小倉 拓海 /B4
  • 山田 義大 /B4
  • 吉田 光一 /B4
  • 片岡 大成 /B3
  • 加藤 海渡 /B3
  • 近藤 修平 /B3
  • 後藤 友綺 /B3
  • 玉腰 敦也 /B3
  • 山岸 大躍 /B3
  • 山中 一輝 /B3