LorenzL

A strange attractor discovered by Edward N. Lorenz while studying mathematical models of the atmosphere. The system is composed of three ordinary differential equations:

x' = s * (y - x)
y' = x * (r - z) - y
z' = x * y - b * z

The time step amount h determines the rate at which the ODE is evaluated. Higher values will increase the rate, but cause more instability. A safe choice is the default amount of 0.05.

freq: Iteration frequency in Hertz
s: Equation variable
r: Equation variable
b: Equation variable
h: Integration time step
xi: Initial value of x
yi: Initial value of y
zi: Initial value of z

Linear Supertypes

Serializable, Serializable, SingleOut, SomeOut, GE.Lazy, GE, UGenSource[UGenInLike], Expander[UGenInLike], Lazy, Product, Equals, AnyRef, Any

Instance Constructors

new LorenzL(rate: Rate, freq: GE = Nyquist(), s: GE = 10.0f, r: GE = 28.0f, b: GE = 2.667f, h: GE = 0.05f, xi: GE = 0.1f, yi: GE = 0.0f, zi: GE = 0.0f)

freq
Iteration frequency in Hertz
s
Equation variable
r
Equation variable
b
Equation variable
h
Integration time step
xi
Initial value of x
yi
Initial value of y
zi
Initial value of z

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def asInstanceOf[T0]: T0

Definition Classes
Any
val b: GE

Equation variable
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
val freq: GE

Iteration frequency in Hertz
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
val h: GE

Integration time step
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
def makeUGens: UGenInLike

Abstract method which must be implemented by creating the actual UGens during expansion.
Abstract method which must be implemented by creating the actual UGens during expansion. This method is at most called once during graph expansion
returns
the expanded object (depending on the type parameter U)

Attributes
protected
Definition Classes
LorenzL → Expander
final def name: String

Definition Classes
UGenSource
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
val r: GE

Equation variable
val rate: Rate

Definition Classes
LorenzL → GE
val s: GE

Equation variable
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
val xi: GE

Initial value of x
val yi: GE

Initial value of y
val zi: GE

Initial value of z

Related Docs: object LorenzL | package ugen

final case class LorenzL(rate: Rate, freq: GE = Nyquist(), s: GE = 10.0f, r: GE = 28.0f, b: GE = 2.667f, h: GE = 0.05f, xi: GE = 0.1f, yi: GE = 0.0f, zi: GE = 0.0f) extends SingleOut with Product with Serializable

Instance Constructors

new LorenzL(rate: Rate, freq: GE = Nyquist(), s: GE = 10.0f, r: GE = 28.0f, b: GE = 2.667f, h: GE = 0.05f, xi: GE = 0.1f, yi: GE = 0.0f, zi: GE = 0.0f)

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

final def asInstanceOf[T0]: T0

val b: GE

def clone(): AnyRef

final def eq(arg0: AnyRef): Boolean

def finalize(): Unit

val freq: GE

final def getClass(): Class[_]

val h: GE

final def isInstanceOf[T0]: Boolean

def makeUGens: UGenInLike

final def name: String

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

val r: GE

val rate: Rate

val s: GE

final def synchronized[T0](arg0: ⇒ T0): T0

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

val xi: GE

val yi: GE

val zi: GE

Inherited from Serializable

Inherited from Serializable

Inherited from SingleOut

Inherited from SomeOut

Inherited from GE.Lazy

Inherited from GE

Inherited from UGenSource[UGenInLike]

Inherited from Expander[UGenInLike]

Inherited from Lazy

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Ungrouped