pyna.topo.invariants#

Attributes#

MonodromyData

Generic alias kept for linear stability / return-map Jacobian data.

Classes#

FixedPoint

Generic period-1 fixed point of a discrete map.

Module Contents#

pyna.topo.invariants.MonodromyData[source]#: Generic alias kept for linear stability / return-map Jacobian data.

class pyna.topo.invariants.FixedPoint[source]#

Bases: pyna.topo._base.InvariantManifold

Generic period-1 fixed point of a discrete map.

The state lives in arbitrary finite-dimensional coordinates. Optional section metadata may be attached when the fixed point is represented on a chosen section of a flow.

state: numpy.ndarray[source]#

stability: pyna.topo.core.LinearStabilityData | None = None[source]#

section_value: float | None = None[source]#

section_label: str | None = None[source]#

metadata: Dict[str, Any][source]#

property intrinsic_dim: int[source]#: Intrinsic dimension of the invariant manifold (None if unknown).

property ambient_dim: int[source]#: Dimension of the ambient phase space (None if unknown).

as_section_point() → pyna.topo.core.SectionPoint[source]#

as_orbit() → pyna.topo.core.PeriodicOrbit[source]#

section_cut(section=None) → list[source]#

Return the intersection of this invariant with a Poincaré section.

Raises NotImplementedError by default. Subclasses that support sectioning should override (and ideally also derive from SectionCuttable).

diagnostics() → Dict[str, Any][source]#

Return a structured diagnostic / debug dict.

The default implementation returns a minimal dict with just the class name. Subclasses are encouraged to override and add domain-specific information.